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Finding the Fourth Proportional to 230,103.40, 344,949.90 and 89,829.40

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Solution

The fourth proportional to 230,103.40, 344,949.90 and 89,829.40 is: 134,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,103.40 : 344,949.90 = 89,829.40 : x
  2. Step 2: Convert to fraction form
    230,103.40/344,949.90 = 89,829.40/x
  3. Step 3: Cross multiply
    230,103.40x = 344,949.90 × 89,829.40
  4. Step 4: Simplify right side
    230,103.40x = 30,986,642,547.06
  5. Step 5: Solve for x
    x = 30,986,642,547.06/230,103.40
  6. Step 6: Final answer
    x = 134,663.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.